Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity
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Date
2018-05-14
Authors
Cao, Yang
Liu, Conghui
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider the initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity. Constructing a family of potential wells and using the logarithmic Sobolev inequality, we establish the existence of global weak solutions. we consider two cases: global boundedness and blowing-up at ∞. Moreover, we discuss the asymptotic behavior of solutions and give some decay estimates and growth estimates.
Description
Keywords
Pseudo-parabolic, p-Laplacian, Logarithmic nonlinearity, Long time behavior
Citation
Cao, Y., & Liu, C. (2018). Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity. <i>Electronic Journal of Differential Equations, 2018</i>(116), pp. 1-19.
Rights
Attribution 4.0 International